This curriculum provides an overview and guidance to the year 5/6 teachers as a starting
point for planning. Teacher assessment will play a large role within this curriculum
overview and so objectives that are covered may change according to teacher
judgement. Also Math’s booster sessions may impact the planning of term 3,4,5
In some terms, the objective planning does not cover all weeks. In this case, focus on
developing problem solving skills- revising the content taught that term. Throughout the
curriculum planning times tables, place value and mental methods should play a
predominant role in mental and oral starters.
For guidance on which written methods should be taught and at which stage, refer to the
calculation policy.
Term 1
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Overall
Focus
Number and Place value
Number and Place
Value
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
LA
objectives
-Count in multiples of 6, 7, 9, 25 and 1000
-Find 1000 more or less than a given number
-Count backwards through zero to include
negative numbers
-Recognise the place value of each digit in a fourdigit number (thousands, hundreds, tens, and
ones)
-Order and compare numbers beyond 1000
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
-Add and subtract numbers with up to 4
digits using the formal written methods of
columnar addition and subtraction where
appropriate
-Estimate and use inverse operations to
check answers to a calculation
-Solve addition and subtraction two-step
problems in contexts, deciding which
operations and methods to use and why.
-Recall multiplication and division facts for
multiplication tables up to 12 × 12
-Use place value, known and derived facts to
multiply and divide mentally, including:
multiplying by 0 and 1; dividing by 1;
multiplying together three numbers
-Recognise and use factor pairs and
commutativity in mental calculations
-Multiply two-digit and three-digit numbers
by a one-digit number using formal written
layout
-Solve problems involving multiplying and
adding, including using the distributive law to
multiply two digit numbers by one digit,
integer scaling problems and harder
correspondence problems such as n objects
are connected to m objects.
LMA
objectives
-Read, write, order and compare numbers to at
least 1 000 000 and determine the value of each
digit
-Count forwards or backwards in steps of powers
of 10 for any given number up to 1 000 000
-Interpret negative numbers in context, count
forwards and backwards with positive and
negative whole numbers, including through zero
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
-Add and subtract whole numbers with more
than 4 digits, including using formal written
methods (columnar addition and subtraction)
-Use rounding to check answers to
calculations and determine, in the context of
a problem, levels of accuracy
-Add and subtract numbers mentally with
increasingly large numbers
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why.
Identify multiples and factors, including
finding all factor pairs of a number, and
common factors of 2 numbers
-Know and use the vocabulary of prime
numbers, prime factors and composite (nonprime) numbers
-Establish whether a number up to 100 is
prime and recall prime numbers up to 19
-Multiply numbers up to 4 digits by a one- or
two-digit number using a formal written
method, including long multiplication for
two-digit numbers
-Multiply and divide numbers mentally,
drawing upon known facts
divide numbers up to 4 digits by a one-digit
number using the formal written method of
short division and interpret remainders
appropriately for the context
HMA
objectives
-Read, write, order and compare numbers up to 10
000 000 and determine the value of each digit
-Round any whole number to a required degree of
accuracy
-Use negative numbers in context, and calculate
intervals across zero
-Solve number problems and practical problems
that involve all of the above.
-Read, write, order and compare numbers up
to 10 000 000 and determine the value of
each digit
-Round any whole number to a required
degree of accuracy
-Use negative numbers in context, and
calculate intervals across zero
-Solve number problems and practical
problems that involve all of the above.
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
HA
objectives
-Understand and use place value for decimals,
measures and integers of any size
-Order positive and negative integers, decimals
and fractions; use the number line as a model for
ordering of the real numbers; use the symbols =, ≠,
<, >, ≤, ≥
-Use the concepts and vocabulary of prime
numbers, factors (or divisors), multiples, common
factors, common multiples, highest common
factor, lowest common multiple, prime
factorisation, including using product notation and
the unique factorisation property
-Use the four operations, including formal written
methods, applied to integers, decimals, proper and
improper fractions, and mixed numbers, all both
positive and negative
-Use conventional notation for the priority of
operations, including brackets, powers, roots
and reciprocals
-Recognise and use relationships between
operations including inverse operations
-Use integer powers and associated real
roots (square, cube and higher), recognise
powers of 2, 3, 4, 5 and distinguish between
exact representations of roots and their
decimal approximations
-Interpret and compare numbers in standard
form A × 10n 1≤A>10, where n is a positive or
negative integer or zero
-Work interchangeably with terminating
decimals and their corresponding fractions
(such as 3.5 and 72 or 0.375 and 38)
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
Term 2
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Overall Focus
Measurement
Measurement
Addition, Subtraction,
Multiplication and
Division
Fractions
Fractions
Place Value/ Ratio and
Proportion
LA objectives
-Compare and classify geometric shapes,
including quadrilaterals and triangles, based
on their properties and sizes
-Identify acute and obtuse angles and
compare and order angles up to two right
angles by size
-Identify lines of symmetry in 2-D shapes
presented in different orientations
-Complete a simple symmetric figure with
respect to a specific line of symmetry.
-Compare and classify geometric shapes,
including quadrilaterals and triangles, based
on their properties and sizes
-Identify acute and obtuse angles and
compare and order angles up to two right
angles by size
-Identify lines of symmetry in 2-D shapes
presented in different orientations
-Complete a simple symmetric figure with
respect to a specific line of symmetry.
-Recall multiplication and division facts for
multiplication tables up to 12 × 12
-Use place value, known and derived facts to
multiply and divide mentally, including:
multiplying by 0 and 1; dividing by 1;
multiplying together three numbers
-Recognise and use factor pairs and
commutativity in mental calculations
-Multiply two-digit and three-digit numbers
by a one-digit number using formal written
layout
-Solve problems involving multiplying and
adding, including using the distributive law to
multiply two digit numbers by one digit,
integer scaling problems and harder
correspondence problems such as n objects
are connected to m objects.
-Recognise and show, using diagrams,
families of common equivalent fractions
count up and down in hundredths; recognise
that hundredths arise when dividing an
object by one hundred and dividing tenths by
ten.
-Solve problems involving increasingly harder
fractions to calculate quantities, and fractions
to divide quantities, including non-unit
fractions where the answer is a whole
number
-Add and subtract fractions with the same
denominator
recognise and write decimal equivalents of
any number of tenths or hundredths
-Recognise and write decimal equivalents to
¼, ½, ¾
-Find the effect of dividing a one- or two-digit
number by 10 and 100, identifying the value
of the digits in the answer as ones, tenths
and hundredths
-Round decimals with one decimal place to
the nearest whole number
-Compare numbers with the same number of
decimal places up to two decimal places
-Solve simple measure and money problems
involving fractions and decimals to two
decimal places.
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
LMA objectives
-Identify 3-D shapes, including cubes and
other cuboids, from 2-D representations
-Know angles are measured in degrees:
estimate and compare acute, obtuse and
reflex angles
-Use the properties of rectangles to deduce
related facts and find missing lengths and
angles
-Distinguish between regular and irregular
polygons based on reasoning about equal
sides and angles.
-Identify 3-D shapes, including cubes and
other cuboids, from 2-D representations
-Know angles are measured in degrees:
estimate and compare acute, obtuse and
reflex angles
-Use the properties of rectangles to deduce
related facts and find missing lengths and
angles
-Distinguish between regular and irregular
polygons based on reasoning about equal
sides and angles
-Multiply and divide whole numbers and
those involving decimals by 10, 100 and 1,000
-Recognise and use square numbers and
cube numbers, and the notation for squared
(²) and cubed (³)
-Solve problems involving multiplication and
division, including using their knowledge of
factors and multiples, squares and cubes
-Solve problems involving addition,
subtraction, multiplication and division and a
combination of these, including
understanding the meaning of the equals
sign
-Solve problems involving multiplication and
division, including scaling by simple fractions
and problems involving simple rates
-Compare and order fractions whose
denominators are all multiples of the same
number
-Identify, name and write equivalent fractions
of a given fraction, represented
visually,including tenths and hundredths
-Recognise mixed numbers and improper
fractions and convert from one form to the
other and write mathematical statements >1
as a mixed number[for
example,2⁄5+4⁄5=6⁄5= 11⁄5]
-Add and subtract fractions with the same
denominator and denominators that are
multiples of the same number
-Multiply proper fractions and mixed
numbers by whole numbers, supported by
materials and diagrams
-Read and write decimal numbers as
fractions [for example, 0.71 =71⁄100]
recognise and use thousandths and relate
them to tenths, hundredths and decimal
equivalents
-Round decimals with two decimal places to
the nearest whole number and to one
decimal place
-Read, write, order and compare numbers
with up to three decimal places
-Solve problems involving number up to
three decimal places
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
HMA
objectives
-Solve problems involving the calculation and
conversion of units of measure, using
decimal notation up to three decimal places
where appropriate
-Use, read, write and convert between
standard units, converting measurements of
length, mass, volume and time from a smaller
unit of measure to a larger unit, and vice
versa, using decimal notation to up to three
decimal places
-Convert between miles and kilometres
-Recognise that shapes with the same areas
can have different perimeters and vice versa
-Recognise when it is possible to use the
formulae for area and volume of shapes
-Calculate the area of parallelograms and
triangles
-Calculate, estimate and compare volume of
cubes and cuboids using standard units,
including cubic centimetres (cm3) and cubic
metres (m3), and extending to other units [for
example, mm3 and km3]
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Divide proper fractions by whole numbers
[for example, 1⁄3 ÷ 2 = 1⁄6]
-Associate a fraction with division and
calculate decimal fraction equivalents [for
example, 0.375] for a simple fraction [for
example, 3⁄8]
-Identify the value of each digit in numbers
given to three decimal places and multiply
and divide numbers by 10, 100 and 1000
giving answers up to three decimal places
-Solve problems involving the relative sizes of
two quantities where missing values can be
found by using integer multiplication and
division facts
-Solve problems involving the calculation of
percentages [for example, of measures, and
such as 15% of 360] and use percentages for
comparison
-Solve problems involving similar shapes
where the scale factor is known or can be
found
-Solve problems involving unequal sharing
and grouping using knowledge of fractions
and multiples
HA objectives
-Derive and apply formulae to calculate and
solve problems involving: perimeter and area
of triangles, parallelograms, trapezia, volume
of cuboids (including cubes) and other prisms
(including cylinders)
-Calculate and solve problems involving:
perimeters of 2-D shapes (including circles),
areas of circles and composite shapes
-Draw and measure line segments and angles
in geometric figures, including interpreting
scale drawings
-Derive and use the standard ruler and
compass constructions (perpendicular
bisector of a line segment, constructing a
perpendicular to a given line from/at a given
point, bisecting a given angle); recognise and
use the perpendicular distance from a point
to a line as the shortest distance to the line
-Describe, sketch and draw using
conventional terms and notations: points,
lines, parallel lines, perpendicular lines, right
angles, regular polygons, and other polygons
that are reflectively and rotationally
symmetric
-Use the standard conventions for labelling
the sides and angles of triangle ABC, and
know and use the criteria for congruence of
triangles
-Derive and illustrate properties of triangles,
quadrilaterals, circles, and other plane figures
[for example, equal lengths and angles] using
appropriate language and technologies
-Identify properties of, and describe the
results of, translations, rotations and
reflections applied to given figures
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Divide proper fractions by whole numbers
[for example, 1⁄3 ÷ 2 = 1⁄6]
-Associate a fraction with division and
calculate decimal fraction equivalents [for
example, 0.375] for a simple fraction [for
example, 3⁄8]
-Identify the value of each digit in numbers
given to three decimal places and multiply
and divide numbers by 10, 100 and 1000
giving answers up to three decimal places
-Change freely between related standard
units (for example time, length, area,
volume/capacity, mass)
-Use scale factors, scale diagrams and maps
-Express one quantity as a fraction of
another, where the fraction is less than 1 and
greater than 1
Term 3
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Overall Focus
Geometry and Shape
Geometry and Shape
Position and Direction
Addition, Subtraction,
Multiplication and
Division
Place Value/ Ratio and
Proportion
Place Value/ Ratio and
Proportion
LA objectives
-Convert between different units of measure
[for example, kilometre to metre; hour to
minute]
-Measure and calculate the perimeter of a
rectilinear figure (including squares) in
centimetres and metres
-Fnd the area of rectilinear shapes by
counting squares
-Estimate, compare and calculate different
measures, including money in pounds and
pence
-Identify, describe and represent the position
of a shape following a reflection or
translation, using the appropriate language,
and know that the shape has not changed.
-Add and subtract numbers with up to 4
digits using the formal written methods of
columnar addition and subtraction where
appropriate
-Estimate and use inverse operations to
check answers to a calculation
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
LMA objectives
-Convert between different units of metric
measure (for example, kilometre and metre;
centimetre and metre; centimetre and
millimetre; gram and kilogram; litre and
millilitre)
-Understand and use approximate
equivalences between metric units and
common imperial units such as inches,
pounds and pints
-Measure and calculate the perimeter of
composite rectilinear shapes in centimetres
and metres
-Calculate and compare the area of
rectangles (including squares), and including
using standard units, square centimetres
(cm2) and square metres (m2) and estimate
the area of irregular shapes
-Estimate volume [for example, using 1 cm3
blocks to build cuboids (including cubes)] and
capacity [for example, using water]
-Use all four operations to solve problems
involving measure [for example, length,
mass, volume, money] using decimal
notation, including scaling.
-Identify:
-Add and subtract whole numbers with more
than 4 digits, including using formal written
methods (columnar addition and subtraction)
-Use rounding to check answers to
calculations and determine, in the context of
a problem, levels of accuracy
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
HMA
objectives
-Solve problems involving the calculation and
conversion of units of measure, using
decimal notation up to three decimal places
where appropriate
-Use, read, write and convert between
standard units, converting measurements of
length, mass, volume and time from a smaller
unit of measure to a larger unit, and vice
versa, using decimal notation to up to three
decimal places
-Convert between miles and kilometres
-Recognise that shapes with the same areas
can have different perimeters and vice versa
-Recognise when it is possible to use the
formulae for area and volume of shapes
-Calculate the area of parallelograms and
triangles
-Calculate, estimate and compare volume of
cubes and cuboids using standard units,
including cubic centimetres (cm3) and cubic
metres (m3), and extending to other units [for
example, mm3 and km3]
-Describe positions on the full coordinate grid
(all four quadrants)
-Draw and translate simple shapes on the
coordinate plane, and reflect them in the
axes.
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Solve problems involving the relative sizes of
two quantities where missing values can be
found by using integer multiplication and
division facts
-Solve problems involving the calculation of
percentages [for example, of measures, and
such as 15% of 360] and use percentages for
comparison
-Solve problems involving similar shapes
where the scale factor is known or can be
found
-Solve problems involving unequal sharing
and grouping using knowledge of fractions
and multiples
-Solve problems involving the relative sizes of
two quantities where missing values can be
found by using integer multiplication and
division facts
-Solve problems involving the calculation of
percentages [for example, of measures, and
such as 15% of 360] and use percentages for
comparison
-Solve problems involving similar shapes
where the scale factor is known or can be
found
-Solve problems involving unequal sharing
and grouping using knowledge of fractions
and multiples
HA objectives
-Derive and apply formulae to calculate and
solve problems involving: perimeter and area
of triangles, parallelograms, trapezia, volume
of cuboids (including cubes) and other prisms
(including cylinders)
-Calculate and solve problems involving:
perimeters of 2-D shapes (including circles),
areas of circles and composite shapes
-Draw and measure line segments and angles
in geometric figures, including interpreting
scale drawings
-Derive and use the standard ruler and
compass constructions (perpendicular
bisector of a line segment, constructing a
perpendicular to a given line from/at a given
point, bisecting a given angle); recognise and
use the perpendicular distance from a point
to a line as the shortest distance to the line
-Describe, sketch and draw using
conventional terms and notations: points,
lines, parallel lines, perpendicular lines, right
angles, regular polygons, and other polygons
that are reflectively and rotationally
symmetric
-Use the standard conventions for labelling
the sides and angles of triangle ABC, and
know and use the criteria for congruence of
triangles
-Derive and illustrate properties of triangles,
quadrilaterals, circles, and other plane figures
[for example, equal lengths and angles] using
appropriate language and technologies
-Identify properties of, and describe the
results of, translations, rotations and
reflections applied to given figures
-Identify and construct congruent triangles,
and construct similar shapes by enlargement,
with and without coordinate grids
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Use ratio notation, including reduction to
simplest form
-Divide a given quantity into two parts in a
given part:part or part:whole ratio; express
the division of a quantity into two parts as a
ratio
-Understand that a multiplicative relationship
between two quantities can be expressed as
a ratio or a fraction
-Relate the language of ratios and the
associated calculations to arithmetic of
fractions and to linear functions
-Solve problems involving percentage
change, including: percentage increase,
decrease and the original value problems and
simple interest in financial mathematics
-Solve problems involving direct and inverse
proportion, including graphical and algebraic
representations
-Use compound units such as speed, unit
pricing and density to solve problems
angles at a point and one
whole turn (total 360°)
angles at a point on a
straight line and ½ a turn
(total 180°)
other multiples of 90°
-Draw given angles, and measure them in
degrees (°)
Overall Focus
Addition, Subtraction,
Multiplication and
Division
Statistics
Statistics
Fraction
Fractions
Place Value
LA objectives
-Multiply two-digit and three-digit numbers
by a one-digit number using formal written
layout
-Solve problems involving multiplying and
adding, including using the distributive law to
multiply two digit numbers by one digit,
integer scaling problems and harder
correspondence problems such as n objects
are connected to m objects.
-Interpret and present discrete and
continuous data using appropriate graphical
methods, including bar charts and time
graphs.
-Solve comparison, sum and difference
problems using information presented in bar
charts, pictograms, tables and other graphs.
-Interpret and present discrete and
continuous data using appropriate graphical
methods, including bar charts and time
graphs.
-Solve comparison, sum and difference
problems using information presented in bar
charts, pictograms, tables and other graphs.
-Recognise and show, using diagrams,
families of common equivalent fractions
count up and down in hundredths; recognise
that hundredths arise when dividing an
object by one hundred and dividing tenths by
ten.
-Solve problems involving increasingly harder
fractions to calculate quantities, and fractions
to divide quantities, including non-unit
fractions where the answer is a whole
number
-Add and subtract fractions with the same
denominator
recognise and write decimal equivalents of
any number of tenths or hundredths
-Recognise and write decimal equivalents to
¼, ½, ¾
-Find the effect of dividing a one- or two-digit
number by 10 and 100, identifying the value
of the digits in the answer as ones, tenths
and hundredths
-Round decimals with one decimal place to
the nearest whole number
-Compare numbers with the same number of
decimal places up to two decimal places
-Solve simple measure and money problems
involving fractions and decimals to two
decimal places.
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
LMA objectives
-Multiply numbers up to 4 digits by a one- or
two-digit number using a formal written
method, including long multiplication for
two-digit numbers
-Multiply and divide numbers mentally,
drawing upon known facts
divide numbers up to 4 digits by a one-digit
number using the formal written method of
short division and interpret remainders
appropriately for the context
-Solve comparison, sum and
difference problems using
information presented in a line graph
-Complete, read and interpret
information in tables, including
timetables.
-Solve comparison, sum and
difference problems using
information presented in a line graph
-Complete, read and interpret
information in tables, including
timetables.
recognise the per cent symbol (%) and
understand that per cent relates to ‘number
of parts per hundred’, and write percentages
as a fraction with denominator 100, and as a
decimal
solve problems which require knowing
percentage and decimal equivalents of 1⁄2,
1⁄4,1⁄5, 2⁄5 and those fractions with a
denominator of a multiple of 10 or 25.
-Compare and order fractions whose
denominators are all multiples of the same
number
-Identify, name and write equivalent fractions
of a given fraction, represented
visually,including tenths and hundredths
-Recognise mixed numbers and improper
fractions and convert from one form to the
other and write mathematical statements >1
as a mixed number[for
example,2⁄5+4⁄5=6⁄5= 11⁄5]
-Add and subtract fractions with the same
denominator and denominators that are
multiples of the same number
-Multiply proper fractions and mixed
numbers by whole numbers, supported by
materials and diagrams
-Read and write decimal numbers as
fractions [for example, 0.71 =71⁄100]
recognise and use thousandths and relate
them to tenths, hundredths and decimal
equivalents
-Round decimals with two decimal places to
the nearest whole number and to one
decimal place
-Read, write, order and compare numbers
with up to three decimal places
-Solve problems involving number up to
three decimal places
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
HMA
objectives
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Interpret and construct pie charts and line
graphs and use these to solve problems
-Calculate and interpret the mean as an
average
-Interpret and construct pie charts and line
graphs and use these to solve problems
-Calculate and interpret the mean as an
average
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Multiply one-digit numbers with up to two
decimal places by whole numbers
-Use written division methods in cases where
the answer has up to two decimal places.
-Solve problems which require answers to be
rounded to specified degrees of accuracy
-Recall and use equivalences between simple
fractions, decimals and percentages including
in different contexts.
-Read, write, order and compare numbers up
to 10 000 000 and determine the value of
each digit
-Round any whole number to a required
degree of accuracy
-Use negative numbers in context, and
calculate intervals across zero
-Solve number problems and practical
problems that involve all of the above.
HA objectives
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
-Describe, interpret and compare observed
distributions of a single variable through:
appropriate graphical representation
involving discrete, continuous and grouped
data; and appropriate measures of central
tendency (mean, mode, median) and spread
(range, consideration of outliers)
-Construct and interpret appropriate tables,
charts, and diagrams, including frequency
tables, bar charts, pie charts, and pictograms
for categorical data, and vertical line (or bar)
charts for ungrouped and grouped numerical
data
-Describe simple mathematical relationships
between two variables (bivariate data) in
-Record, describe and analyse the frequency
of outcomes of simple probability
experiments involving randomness, fairness,
equally and unequally likely outcomes, using
appropriate language and the 0-1 probability
scale
-Understand that the probabilities of all
possible outcomes sum to 1
-Enumerate sets and unions/intersections of
sets systematically, using tables, grids and
Venn diagrams
-Generate theoretical sample spaces for
single and combined events with equally
likely, mutually exclusive outcomes and use
these to calculate theoretical probabilities
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Multiply one-digit numbers with up to two
decimal places by whole numbers
-Use written division methods in cases where
the answer has up to two decimal places.
-Solve problems which require answers to be
rounded to specified degrees of accuracy
-Recall and use equivalences between simple
fractions, decimals and percentages including
in different contexts.
-Define percentage as ‘number of parts per
hundred’, interpret percentages and
percentage changes as a fraction or a
decimal, interpret these multiplicatively,
express one quantity as a percentage of
another, compare two quantities using
percentages, and work with percentages
greater than 100%
-Interpret fractions and percentages as
operators
-Use standard units of mass, length, time,
money and other measures, including with
decimal quantities
Term 5
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Overall Focus
Measurement
Measurement
Place Value
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
Ratio/Proportion
LA objectives
-Read, write and convert time between
analogue and digital 12- and 24-hour clocks
-Solve problems involving converting from
hours to minutes; minutes to seconds; years
to months; weeks to days.
-Estimate, compare and calculate different
measures, including money in pounds and
pence
-Count in multiples of 6, 7, 9, 25 and 1000
-Find 1000 more or less than a given number
-Count backwards through zero to include
negative numbers
-Recognise the place value of each digit in a
four-digit number (thousands, hundreds,
tens, and ones)
-Order and compare numbers beyond 1000
-Solve addition and subtraction two-step
problems in contexts, deciding which
operations and methods to use and why.
-Recall multiplication and division facts for
multiplication tables up to 12 × 12
-Use place value, known and derived facts to
multiply and divide mentally, including:
multiplying by 0 and 1; dividing by 1;
multiplying together three numbers
-Recognise and use factor pairs and
commutativity in mental calculations
-Multiply two-digit and three-digit numbers
by a one-digit number using formal written
layout
-Solve problems involving multiplying and
adding, including using the distributive law to
multiply two digit numbers by one digit,
integer scaling problems and harder
correspondence problems such as n objects
are connected to m objects.
LMA objectives
-Solve problems involving converting
between units of time
-Convert between different units of metric
measure (for example, kilometre and metre;
centimetre and metre; centimetre and
millimetre; gram and kilogram; litre and
millilitre)
-Understand and use approximate
equivalences between metric units and
common imperial units such as inches,
pounds and pints
-Measure and calculate the perimeter of
composite rectilinear shapes in centimetres
and metres
-Calculate and compare the area of
rectangles (including squares), and including
using standard units, square centimetres
(cm2) and square metres (m2) and estimate
the area of irregular shapes
-Estimate volume [for example, using 1 cm3
blocks to build cuboids (including cubes)] and
capacity [for example, using water]
-Read, write, order and compare numbers to
at least 1 000 000 and determine the value of
each digit
-Count forwards or backwards in steps of
powers of 10 for any given number up to 1
000 000
-Interpret negative numbers in context, count
forwards and backwards with positive and
negative whole numbers, including through
zero
-Add and subtract numbers mentally with
increasingly large numbers
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why.
Identify multiples and factors, including
finding all factor pairs of a number, and
common factors of 2 numbers
-Know and use the vocabulary of prime
numbers, prime factors and composite (nonprime) numbers
-Establish whether a number up to 100 is
prime and recall prime numbers up to 19
-Multiply numbers up to 4 digits by a one- or
two-digit number using a formal written
method, including long multiplication for
two-digit numbers
-Multiply and divide numbers mentally,
drawing upon known facts
divide numbers up to 4 digits by a one-digit
number using the formal written method of
short division and interpret remainders
appropriately for the context
HMA
objectives
-Solve problems involving the calculation and
conversion of units of measure, using
decimal notation up to three decimal places
where appropriate
-Use, read, write and convert between
standard units, converting measurements of
length, mass, volume and time from a smaller
unit of measure to a larger unit, and vice
versa, using decimal notation to up to three
decimal places
-Convert between miles and kilometres
-Recognise that shapes with the same areas
can have different perimeters and vice versa
-Recognise when it is possible to use the
formulae for area and volume of shapes
-Calculate the area of parallelograms and
triangles
-Calculate, estimate and compare volume of
cubes and cuboids using standard units,
including cubic centimetres (cm3) and cubic
metres (m3), and extending to other units [for
example, mm3 and km3]
-Solve problems involving the relative sizes of
two quantities where missing values can be
found by using integer multiplication and
division facts
-Solve problems involving the calculation of
percentages [for example, of measures, and
such as 15% of 360] and use percentages for
comparison
-Solve problems involving similar shapes
where the scale factor is known or can be
found
-Solve problems involving unequal sharing
and grouping using knowledge of fractions
and multiples
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Solve problems involving the relative sizes of
two quantities where missing values can be
found by using integer multiplication and
division facts
-Solve problems involving the calculation of
percentages [for example, of measures, and
such as 15% of 360] and use percentages for
comparison
-Solve problems involving similar shapes
where the scale factor is known or can be
found
-Solve problems involving unequal sharing
and grouping using knowledge of fractions
and multiples
HA Objectives
-Identify and construct congruent triangles,
and construct similar shapes by enlargement,
with and without coordinate grids
-Apply the properties of angles at a point,
angles at a point on a straight line, vertically
opposite angles
-Understand and use the relationship
between parallel lines and alternate and
corresponding angles
-Derive and use the sum of angles in a
triangle and use it to deduce the angle sum in
any polygon, and to derive properties of
regular polygons
-Apply angle facts, triangle congruence,
similarity and properties of quadrilaterals to
derive results about angles and sides,
including Pythagoras’ Theorem, and use
known results to obtain simple proofs
-Use Pythagoras’ Theorem and trigonometric
ratios in similar triangles to solve problems
involving right-angled triangles
-Use the properties of faces, surfaces, edges
and vertices of cubes, cuboids, prisms,
cylinders, pyramids, cones and spheres to
solve problems in 3-D
-Interpret mathematical relationships both
algebraically and geometrically
-Use ratio notation, including reduction to
simplest form
-Divide a given quantity into two parts in a
given part:part or part:whole ratio; express
the division of a quantity into two parts as a
ratio
-Understand that a multiplicative relationship
between two quantities can be expressed as
a ratio or a fraction
-Relate the language of ratios and the
associated calculations to arithmetic of
fractions and to linear functions
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
-Solve problems involving percentage
change, including: percentage increase,
decrease and the original value problems and
simple interest in financial mathematics
-Solve problems involving direct and inverse
proportion, including graphical and algebraic
representations
-Use compound units such as speed, unit
pricing and density to solve problems
Term 6
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Overall Focus
Fractions
Fractions
Measurement
Place Value
Addition, Subtraction,
Multiplication and
Division
Addition, Subtraction,
Multiplication and
Division
LA objectives
-Recognise and show, using diagrams,
families of common equivalent fractions
count up and down in hundredths; recognise
that hundredths arise when dividing an
object by one hundred and dividing tenths by
ten.
-Solve problems involving increasingly harder
fractions to calculate quantities, and fractions
to divide quantities, including non-unit
fractions where the answer is a whole
number
-Add and subtract fractions with the same
denominator
recognise and write decimal equivalents of
any number of tenths or hundredths
-Recognise and write decimal equivalents to
¼, ½, ¾
-Find the effect of dividing a one- or two-digit
number by 10 and 100, identifying the value
of the digits in the answer as ones, tenths
and hundredths
-Round decimals with one decimal place to
the nearest whole number
-Compare numbers with the same number of
decimal places up to two decimal places
-Solve simple measure and money problems
involving fractions and decimals to two
decimal places.
-Convert between different units of measure
[for example, kilometre to metre; hour to
minute]
-Measure and calculate the perimeter of a
rectilinear figure (including squares) in
centimetres and metres
-Fnd the area of rectilinear shapes by
counting squares
-Identify, represent and estimate numbers
using different representations
-Round any number to the nearest 10, 100 or
1000
-Solve number and practical problems that
involve all of the number and place value obj
and with increasingly large positive numbers
-Read Roman numerals to 100 (I to C) and
know that over time, the numeral system
changed to include the concept of zero and
place value.
-Solve addition and subtraction two-step
problems in contexts, deciding which
operations and methods to use and why.
-Multiply two-digit and three-digit numbers
by a one-digit number using formal written
layout
-Solve problems involving multiplying and
adding, including using the distributive law to
multiply two digit numbers by one digit,
integer scaling problems and harder
correspondence problems such as n objects
are connected to m objects.
LMA objectives
-Compare and order fractions whose
denominators are all multiples of the same
number
-Identify, name and write equivalent fractions
of a given fraction, represented
visually,including tenths and hundredths
-Recognise mixed numbers and improper
fractions and convert from one form to the
other and write mathematical statements >1
as a mixed number[for
example,2⁄5+4⁄5=6⁄5= 11⁄5]
-Add and subtract fractions with the same
denominator and denominators that are
multiples of the same number
-Multiply proper fractions and mixed
numbers by whole numbers, supported by
materials and diagrams
-Read and write decimal numbers as
fractions [for example, 0.71 =71⁄100]
recognise and use thousandths and relate
them to tenths, hundredths and decimal
equivalents
-Round decimals with two decimal places to
the nearest whole number and to one
decimal place
-Read, write, order and compare numbers
with up to three decimal places
-Solve problems involving number up to
three decimal places
-Convert between different units of metric
measure (for example, kilometre and metre;
centimetre and metre; centimetre and
millimetre; gram and kilogram; litre and
millilitre)
-Understand and use approximate
equivalences between metric units and
common imperial units such as inches,
pounds and pints
-Measure and calculate the perimeter of
composite rectilinear shapes in centimetres
and metres
-Calculate and compare the area of
rectangles (including squares), and including
using standard units, square centimetres
(cm2) and square metres (m2) and estimate
the area of irregular shapes
-Estimate volume [for example, using 1 cm3
blocks to build cuboids (including cubes)] and
capacity [for example, using water]
-Use all four operations to solve problems
involving measure [for example, length,
mass, volume, money] using decimal
notation, including scaling.
-Round any number up to 1 000 000 to the
nearest 10, 100, 1000, 10 000 and 100 000
-Solve number problems and practical
problems that involve all of the number place
value objectives
-Read Roman numerals to 1000 (M) and
recognise years written in Roman numerals.
-Add and subtract numbers mentally with
increasingly large numbers
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why.
-Multiply numbers up to 4 digits by a one- or
two-digit number using a formal written
method, including long multiplication for
two-digit numbers
-Multiply and divide numbers mentally,
drawing upon known facts
divide numbers up to 4 digits by a one-digit
number using the formal written method of
short division and interpret remainders
appropriately for the context
HMA
objectives
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Multiply one-digit numbers with up to two
decimal places by whole numbers
-Use written division methods in cases where
the answer has up to two decimal places.
-Solve problems which require answers to be
rounded to specified degrees of accuracy
-Recall and use equivalences between simple
fractions, decimals and percentages including
in different contexts.
-Recognise that shapes with the same areas
can have different perimeters and vice versa
-Recognise when it is possible to use the
formulae for area and volume of shapes
-Calculate the area of parallelograms and
triangles
-Calculate, estimate and compare volume of
cubes and cuboids using standard units,
including cubic centimetres (cm3) and cubic
metres (m3), and extending to other units [for
example, mm3 and km3]
-Read, write, order and compare numbers up
to 10 000 000 and determine the value of
each digit
-Round any whole number to a required
degree of accuracy
-Use negative numbers in context, and
calculate intervals across zero
-Solve number problems and practical
problems that involve all of the above.
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.
HA objectives
-Use common factors to simplify fractions;
use common multiples to express fractions in
the same denomination
-Compare and order fractions, including
fractions >1
-Add and subtract fractions with different
denominators and mixed numbers, using the
concept of equivalent fractions
-Multiply simple pairs of proper fractions,
writing the answer in its simplest form [for
example, ¼ × ½ = 1⁄8]
-Multiply one-digit numbers with up to two
decimal places by whole numbers
-Use written division methods in cases where
the answer has up to two decimal places.
-Solve problems which require answers to be
rounded to specified degrees of accuracy
-Recall and use equivalences between simple
fractions, decimals and percentages including
in different contexts.
-Apply angle facts, triangle congruence,
similarity and properties of quadrilaterals to
derive results about angles and sides,
including Pythagoras’ Theorem, and use
known results to obtain simple proofs
-Use Pythagoras’ Theorem and trigonometric
ratios in similar triangles to solve problems
involving right-angled triangles
-Use the properties of faces, surfaces, edges
and vertices of cubes, cuboids, prisms,
cylinders, pyramids, cones and spheres to
solve problems in 3-D
-Interpret mathematical relationships both
algebraically and geometrically
Round numbers and measures to an
appropriate degree of accuracy [for example,
to a number of decimal places or significant
figures]
-Use approximation through rounding to
estimate answers and calculate possible
resulting errors expressed using inequality
notation a<x≤b
-Use a calculator and other technologies to
calculate results accurately and then
interpret them appropriately
-Appreciate the infinite nature of the sets of
integers, real and rational numbers
-Multiply multi-digit numbers up to 4 digits
by a two-digit whole number using the
formal written method of long multiplication
-Divide numbers up to 4 digits by a two-digit
whole number using the formal written
method of long division, and interpret
remainders as whole number remainders,
fractions, or by rounding, as appropriate for
the context
-Divide numbers up to 4 digits by a two-digit
number using the formal written method of
short division where appropriate,
interpreting remainders according to the
context
-Perform mental calculations, including with
mixed operations and large numbers
-Identify common factors, common multiples
and prime numbers
-Use their knowledge of the order of
operations to carry out calculations involving
the four operations
-Solve addition and subtraction multi-step
problems in contexts, deciding which
operations and methods to use and why
-Solve problems involving addition,
subtraction, multiplication and division
-Use estimation to check answers to
calculations and determine, in the context of
a problem, an appropriate degree of
accuracy.